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Finding the Third Proportional to 693,096.75 and 867,601.13

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Solution

The third proportional to 693,096.75 and 867,601.13 is: 1,086,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,096.75 : 867,601.13 = 867,601.13 : x
  2. Step 2: Convert to fraction form
    693,096.75/867,601.13 = 867,601.13/x
  3. Step 3: Cross multiply
    693,096.75x = 867,601.13 × 867,601.13
  4. Step 4: Simplify right side
    693,096.75x = 752,731,712,101.27
  5. Step 5: Solve for x
    x = 752,731,712,101.27/693,096.75
  6. Step 6: Final answer
    x = 1,086,041.32

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.